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Lawler Gregory F. Stochastic Calculus: An Introduction with Applications

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Lawler Gregory F. Stochastic Calculus: An Introduction with Applications
Unpublished, 2014. — 246 p.
Martingales in discrete time.
Brownian motion.
Stochastic integration.
More stochastic calculus.
Change of measure and Girsanov theorem.
Jump processes.
Fractional Brownian motion.
Harmonic functions
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